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70067920 = 2451389757
BaseRepresentation
bin1000010110100…
…10011011010000
311212211211010011
410023102123100
5120414133140
610541444304
71510365436
oct413223320
9155754104
1070067920
113660807a
121b570694
1311693710
14943cd56
156240cea
hex42d26d0

70067920 has 80 divisors (see below), whose sum is σ = 177644880. Its totient is φ = 25546752.

The previous prime is 70067917. The next prime is 70067927. The reversal of 70067920 is 2976007.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9290304 + 60777616 = 3048^2 + 7796^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70067927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92182 + ... + 92938.

It is an arithmetic number, because the mean of its divisors is an integer number (2220561).

Almost surely, 270067920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70067920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88822440).

70067920 is an abundant number, since it is smaller than the sum of its proper divisors (107576960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

70067920 is a wasteful number, since it uses less digits than its factorization.

70067920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 70067920 is about 8370.6582775789. The cubic root of 70067920 is about 412.2617810346.

The spelling of 70067920 in words is "seventy million, sixty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 89 104 130 178 208 260 356 445 520 712 757 890 1040 1157 1424 1514 1780 2314 3028 3560 3785 4628 5785 6056 7120 7570 9256 9841 11570 12112 15140 18512 19682 23140 30280 39364 46280 49205 60560 67373 78728 92560 98410 134746 157456 196820 269492 336865 393640 538984 673730 787280 875849 1077968 1347460 1751698 2694920 3503396 4379245 5389840 7006792 8758490 14013584 17516980 35033960 70067920